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The size estimates approach for Electrical Impedance Tomography (EIT) allows for estimating the size (area or volume) of an unknown inclusion in an electrical conductor by means of one pair of boundary measurements of voltage and current.…

偏微分方程分析 · 数学 2012-02-27 Giovanni Alessandrini , Antonio Bilotta , Antonino Morassi , Edi Rosset , Emilio Turco

In electrical impedance tomography the electrical conductivity inside a physical body is computed from electro-static boundary measurements. The focus of this paper is to extend recent result for the 2D problem to 3D. Prior information…

数值分析 · 数学 2016-01-20 Henrik Garde , Kim Knudsen

Current-voltage measurements in electrical impedance tomography can be partially ordered with respect to definiteness of the associated self-adjoint Neumann-to-Dirichlet operators (NtD). With this ordering, a point-wise larger conductivity…

数值分析 · 数学 2018-12-14 Bastian Harrach , Marcel Ullrich

We develop a novel wave imaging scheme for reconstructing the shape of an inhomogeneous scatterer and we consider the inverse acoustic obstacle scattering problem as a prototype model for our study. There exists a wealth of reconstruction…

偏微分方程分析 · 数学 2020-01-08 Hongyu Liu , Xiaodong Liu , Xianchao Wang , Yuliang Wang

While Electrical Impedance Tomography (EIT) has found many biomedicine applications, a better resolution is needed to provide quantitative analysis for tissue engineering and regenerative medicine. This paper proposes an impedance-optical…

图像与视频处理 · 电气工程与系统科学 2021-12-09 Zhe Liu , Pierre Bagnaninchi , Yunjie Yang

Four-dimensional scanning transmission electron microscopy (4D-STEM) is one of the most rapidly growing modes of electron microscopy imaging. The advent of fast pixelated cameras and the associated data infrastructure have greatly…

应用统计 · 统计学 2019-08-27 Xin Li , Ondrej Dyck , Stephen Jesse , Andrew R. Lupini , Sergei V. Kalinin , Mark P. Oxley

Electrical impedance tomography (EIT) is a noninvasive imaging modality that allows a continuous assessment of changes in regional bioimpedance of different organs. One of its most common biomedical applications is monitoring regional…

图像与视频处理 · 电气工程与系统科学 2020-10-20 Nils Strodthoff , Claas Strodthoff , Tobias Becher , Norbert Weiler , Inéz Frerichs

Image reconstruction in optoacoustic tomography (OAT) is a trending learning task highly dependent on measured physical magnitudes present at sensing time. The large number of different settings, and also the presence of uncertainties or…

图像与视频处理 · 电气工程与系统科学 2023-05-17 Matias Vera , Martin G. Gonzalez , Leonardo Rey Vega

Electrical impedance tomography (EIT) is a novel computational imaging technology. In order to improve the quality and spatial resolution of the reconstructed images, the G-CNN and HG-CNN algorithms are proposed based on a one-dimensional…

The electrical impedance tomography (EIT) problem of estimating the unknown conductivity distribution inside a domain from boundary current or voltage measurements requires the solution of a nonlinear inverse problem. Sparsity promoting…

数值分析 · 数学 2024-05-27 Daniela Calvetti , Monica Pragliola , Erkki Somersalo

Magnetic resonance imaging (MRI) based electrical properties tomography (EPT) is the quantification of the conductivity and permittivity of different tissues. These electrical properties can be obtained through different reconstruction…

Accurate determination of three-dimensional (3D) atomic structures is crucial for understanding and controlling the properties of nanomaterials. Atomic electron tomography (AET) offers non-destructive atomic imaging with picometer-level…

材料科学 · 物理学 2025-06-23 Juhyeok Lee , Yongsoo Yang

The goal in acousto-electric tomography (AET) is to reconstruct an image of the unknown electric conductivity in an object from exterior electrostatic currents and voltages that are measured on the boundary of the object while the object is…

数值分析 · 数学 2022-03-29 Bjørn Christian Skov Jensen , Kim Knudsen

We provide a rigorous Bayesian formulation of the EIT problem in an infinite dimensional setting, leading to well-posedness in the Hellinger metric with respect to the data. We focus particularly on the reconstruction of binary fields where…

概率论 · 数学 2016-09-13 Matthew M. Dunlop , Andrew M. Stuart

Deep learning has emerged as a technique of choice for rapid feature extraction across imaging disciplines, allowing rapid conversion of the data streams to spatial or spatiotemporal arrays of features of interest. However, applications of…

数据分析、统计与概率 · 物理学 2021-01-25 Ayana Ghosh , Bobby G. Sumpter , Ondrej Dyck , Sergei V. Kalinin , Maxim Ziatdinov

Unknown electric conductivities of human tissues is a common issue in medical engineering. Electrical impedance tomography (EIT) is an imaging modality that can be used to determine these conductivities in vivo from boundary measurements.…

医学物理 · 物理学 2020-02-03 Ville Rimpilainen , Theodoros Samaras , Alexandra Koulouri

Electro-seismic imaging is a novel hybrid imaging modality in geophysical exploration. This paper concerns an inverse source problem for Biot's equations that arise in electro-seismic imaging. Using the time reversal method, we derive an…

偏微分方程分析 · 数学 2019-09-04 Yixian Gao , Peijun Li , Yang Yang

The Inverse Electrical Impedance Tomography (EIT) problem on recovering electrical conductivity tensor and potential in the body based on the measurement of the boundary voltages on the electrodes for a given electrode current is analyzed.…

最优化与控制 · 数学 2018-09-18 Ugur G. Abdulla , Vladislav Bukshtynov , Saleheh Seif

In this work, we consider the non-invasive medical imaging modality of Electrical Impedance Tomography (EIT), where the goal is to recover the conductivity in a medium from boundary current-to-voltage measurements, i.e., the…

机器学习 · 计算机科学 2026-04-15 Anuj Abhishek , Thilo Strauss

Electrical Resistivity Tomography (ERT) has become widely used for engineering and environmental applications in the last couple of decades due to (1) the simplification and automating of resistivity meters and (2) the new generation of…

地球物理 · 物理学 2024-04-18 Deparis Jacques , Gance Julien , Orlando Leite